Mathematical models describing physical situations are frequently
expressed as Ordinary differential equations (ODEs) and Partial
differential equations (PDEs). The primary focus of the course is
classical solution techniques for ODEs and PDEs.
Lecture and
Practicals
Mon (8:00am - 12:30pm)
Wed (8am - 12:30pm)
Thur (2pm - 6pm)
Fri (8am - 12:30 pm)
Venue: NMAIST ROOM
INSTRUCTOR
INSTRUCTOR NAME
Office: OFFICE NUMBER
Office Hours: T Th (4:30 pm - 5:30 pm) and by appointment
E-mail INSTRUCTOR EMAIL
PREREQUISITES
Sufficient recall of undergraduate calculus and topics from linear algebra
and undergraduate differential equations.
LECTURES
Lecture notes provided by the instructor that will be
posted on the course website after every class.
EXPECTED LEARNING OUTCOMES
In this course, the emphasis will be on the theory and application of
ordinary and partial differential equations. The objective will be to
introduce students to a variety of classical techniques to solve initial
value and boundary value problems involving ODEs and PDEs. The students
will be trained:
to develop, analyze and apply well-known techniques from ODEs and
PDEs to solve scientific and engineering problems.
to tie together the mathematics developed and the student's
physical intuition.
This is accomplished by deriving the mathematical model in a number of
cases, by using physical reasoning in the mathematical development and by
interpreting mathematical results in physical terms.
The expected learning outcomes for the course will be assessed through:
Exams, homeworks, in-class activities and class discussions. Problem-based
learning will be an integral part of the course.
COURSE EVALUATION
Evaluation for the course will be based on the following criteria:
Homework
20%
Midterm Exam
20%
Final Exam
60%
TOTAL
100%
There will be five homework assignments during the semester that will
be considered for grade, each worth 4%. These
items should be written up (or maybe typed) and handed in on time to
receive full credit as they add towards 20% of the total grade.
There will be two midterm exams (worth 10% each) and one
comprehensive final exam (worth 60%) in this course.
The Final Exam will be on
Wednesday DATE from
8AM to 10AM and
will be comprehensive.
Make-up exams may be possible only in the case of documented
emergencies.
COURSE OUTLINE
We plan to cover the following topics in this class. Please note that topics covered may vary slightly
from those below depending on class interest and time.
Ordinary Differential Equations: Theory and Applications
Boundary Value Problems
Fourier Series and Integrals
The Heat Equation
The Wave Equation
The Potential Equation
Higher Dimension and Other Coordinates
Laplace Transforms
ACADEMIC INTEGRITY
All
students will be expected to abide by the Honor Code:
Student members of the NMAIST
community pledge not
to cheat, plagiarize, steal, or lie in matters related to academic
work .
DISABILITY ACCOMODATION
If you are a student with a disability and you need academic
accommodations, please see me to make special
arrangements.